Problem: Boboniu gives you

  * r red balls, 
  * g green balls, 
  * b blue balls, 
  * w white balls. 



He allows you to do the following operation as many times as you want: 

  * Pick a red ball, a green ball, and a blue ball and then change their color to white. 



You should answer if it's possible to arrange all the balls into a palindrome after several (possibly zero) number of described operations. 

Input

The first line contains one integer T (1≤ T≤ 100) denoting the number of test cases.

For each of the next T cases, the first line contains four integers r, g, b and w (0≤ r,g,b,w≤ 10^9).

Output

For each test case, print "Yes" if it's possible to arrange all the balls into a palindrome after doing several (possibly zero) number of described operations. Otherwise, print "No".

Example

Input


4
0 1 1 1
8 1 9 3
0 0 0 0
1000000000 1000000000 1000000000 1000000000


Output


No
Yes
Yes
Yes

Note

In the first test case, you're not able to do any operation and you can never arrange three balls of distinct colors into a palindrome.

In the second test case, after doing one operation, changing (8,1,9,3) to (7,0,8,6), one of those possible palindromes may be "rrrwwwbbbbrbbbbwwwrrr".

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards. For example, "rggbwbggr", "b", "gg" are palindromes while "rgbb", "gbbgr" are not. Notice that an empty word, phrase, or sequence is palindrome.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class A {
	static InputReader scn = new InputReader(System.in);
	static OutputWriter out = new OutputWriter(System.out);

	public static void main(String[] args) {
		int t = scn.nextInt();
		while (t-- > 0)
			solve();
		out.close();
	}

	public static void solve() {
		int a = scn.nextInt();
		int b = scn.nextInt();
		int c = scn.nextInt();
		int d = scn.nextInt();
		boolean check = true;
		int loop = 1000;
		while (a >= 0 && b >= 0 && c >= 0 && d >= 0 && loop > 0) {
			if (check(a, b, c, d)) {
				out.println("YES");
				check = false;
				break;
			} else {
				a--;
				b--;
				c--;
				d = d + 3;
			}
			loop--;
		}
		if (check) {
			out.println("NO");
		}

	}

	public static boolean check(int a, int b, int c, int d) {
		int[] arr = { a, b, c, d };
		int odd = 0;
		int even = 0;
		for (int i = 0; i < 4; i++) {
			if (arr[i] % 2 == 0) {
				even++;
			} else {
				odd++;
			}
		}
//		System.out.println(even + " " + odd);
		if (even == 4 || even == 3 && odd == 1) {
			return true;
		}
		return false;
	}

	public static int gcd(int a, int b) {
		if (a == 0)
			return b;
		return gcd(b % a, a);
	}

	public static int lcm(int a, int b) {
		return (a * b) / gcd(a, b);
	}

	public static boolean isPrime(long n) {
		if (n < 2)
			return false;
		if (n == 2 || n == 3)
			return true;
		if (n % 2 == 0 || n % 3 == 0)
			return false;
		long sqrtN = (long) Math.sqrt(n) + 1;
		for (long i = 6L; i <= sqrtN; i += 6) {
			if (n % (i - 1) == 0 || n % (i + 1) == 0)
				return false;
		}
		return true;
	}

	public static HashMap<String, Integer> CountFrequencies(String[] arr) {
		HashMap<String, Integer> map = new HashMap<>();
		for (int i = 0; i < arr.length; i++) {
			String a = arr[i];
			if (map.containsKey(a)) {
				map.put(a, map.get(a) + 1);
			} else {
				map.put(a, 1);
			}
		}
		return map;
	}

	public static int[] readArray(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++) {
			a[i] = scn.nextInt();
		}
		return a;
	}

	public static int countPrimeFactors(int n) {
		int count = 0;
		while (n % 2 == 0) {
			n = n / 2;
			count++;
		}
		for (int i = 3; i <= Math.sqrt(n); i = i + 2) {
			while (n % i == 0) {
				n = n / i;
				count++;
			}
		}
		if (n > 2)
			count++;
		return (count);
	}

	public static ArrayList<Integer> printKAlmostPrimes(int n) {
		ArrayList<Integer> list = new ArrayList<>();
		for (int i = 1, num = 2; i <= n; num++) {
			if (countPrimeFactors(num) == 2) {
				if (num > n) {
					break;
				}
				list.add(num);
				i++;
			}
		}
		return list;
	}

	public static int[] SieveOfEratosthenes(int[] arr) {
		int n = arr.length;
		for (int i = 3; i < n; i = i + 2) {
			arr[i] = 1;
		}
		for (int i = 3; i < n; i = i + 2) {
			if (arr[i] == 1) {
				for (int j = i * i; j < n; j = j + i) {
					arr[j] = 0;
				}
			}
		}
		arr[2] = 1;
		arr[0] = arr[1] = 0;
		return arr;
	}

	static void sort(int[] a) {
		ArrayList<Integer> l = new ArrayList<>();
		for (int i : a) {
			l.add(i);
		}
		Collections.sort(l);
		for (int i = 0; i < a.length; i++) {
			a[i] = l.get(i);
		}
	}

	public static ArrayList<String> printPermutn(String str, String ans, ArrayList<String> list) {
		if (str.length() == 0) {
			list.add(ans);
		}
		for (int i = 0; i < str.length(); i++) {
			char ch = str.charAt(i);
			String ros = str.substring(0, i) + str.substring(i + 1);
			printPermutn(ros, ans + ch, list);
		}
		return list;
	}

	public static ArrayList<String> GetSubSequences(String s) {
		if (s.length() == 0) {
			ArrayList<String> br = new ArrayList<>();
			br.add("");
			return br;
		}
		char ch = s.charAt(0);
		String ms = s.substring(1);

		ArrayList<String> rr = GetSubSequences(ms);

		ArrayList<String> mr = new ArrayList<>();

		int t = rr.size();
		for (int i = 0; i < t; i++) {
			mr.add(rr.get(i));
			mr.add(ch + rr.get(i));

		}

		return mr;

	}

	public static int binarySearch(int arr[], int l, int r, int x) {
		if (r >= l) {
			int mid = l + (r - l) / 2;
			if (arr[mid] == x)
				return mid;
			if (arr[mid] > x)
				return binarySearch(arr, l, mid - 1, x);
			return binarySearch(arr, mid + 1, r, x);
		}
		return -1;
	}

	public static int firstOccurence(int array1[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == 0 || x > array1[mid - 1]) && array1[mid] == x)
				return mid;
			else if (x > array1[mid])
				return firstOccurence(array1, (mid + 1), high, x, n);
			else
				return firstOccurence(array1, low, (mid - 1), x, n);
		}
		return -1;
	}

	public static int lastOccurence(int array2[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == n - 1 || x < array2[mid + 1]) && array2[mid] == x)
				return mid;
			else if (x < array2[mid])
				return lastOccurence(array2, low, (mid - 1), x, n);
			else
				return lastOccurence(array2, (mid + 1), high, x, n);
		}
		return -1;
	}

	public static void quickSort(int[] arr, int lo, int hi) {
		if (lo >= hi) {
			return;
		}
		int mid = (lo + hi) / 2;
		int pivot = arr[mid];
		int left = lo;
		int right = hi;
		while (left <= right) {
			while (arr[left] < pivot) {
				left++;
			}
			while (arr[right] > pivot) {
				right--;
			}
			if (left <= right) {
				int temp = arr[left];
				arr[left] = arr[right];
				arr[right] = temp;
				left++;
				right--;
			}
		}
		quickSort(arr, lo, right);
		quickSort(arr, left, hi);
	}

	static class InputReader {
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;

		public InputReader(InputStream stream) {
			this.stream = stream;
		}

		public int read() {
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = stream.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public int nextInt() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public long nextLong() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public String nextLine() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		public boolean isSpaceChar(int c) {
			if (filter != null)
				return filter.isSpaceChar(c);
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		public String next() {
			return nextLine();
		}

		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}
	}

	static class OutputWriter {
		private final PrintWriter writer;

		public OutputWriter(OutputStream outputStream) {
			writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
		}

		public OutputWriter(Writer writer) {
			this.writer = new PrintWriter(writer);
		}

		public void print(Object... objects) {
			for (int i = 0; i < objects.length; i++) {
				if (i != 0) {
					writer.print(' ');
//                    writer.print(1);
				}
				writer.print(objects[i]);
			}
		}

		public void println(Object... objects) {
			print(objects);
			writer.println();
		}

		public void close() {
			writer.close();
		}
	}

}